Timeline for Tamagawa numbers of abelian varieties and torsion.
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Mar 14, 2011 at 9:56 | comment | added | Chris Wuthrich | I meant Shinishi Kobayashi math.nagoya-u.ac.jp/~shinichi, look at his Inventiones 03 paper. ... and so I say "hello, j!". | |
| Mar 14, 2011 at 9:26 | comment | added | jvo | Hi again, and thanks for these too! I have already done and written the full calculation assuming $A$ has good ordinary reduction at all primes above $p$ in $K$ for this particular $K_{\infty}$ (which does not contain the cyclotomic ${\bf{Z}}_p$-extension of $K$). I will definitely have a look at the papers of Kobayashi (?), Iovita-Pollack and Perrin-Riou now. I usually avoid the supersingular setting for simplicity ... and yes, I am jvo :) | |
| Mar 14, 2011 at 9:17 | comment | added | Chris Wuthrich | Then you should look at papers of Kabayashi and Iovita-Pollack. Also Perrin-Riou has computed the Euler characteristic of the dual of Selmer group over a cyclotomic $\mathbb{Z}_p$-extension in her Asterisque book. But you will find "Arithmétiques des courbes elliptiques à réduction supersingulière en p" a better place to start. ps: Are you jvo ? | |
| Mar 14, 2011 at 9:00 | comment | added | jvo | Thanks, this is very helpful. I am of course not attempting the case of good non-ordinary reduction here! Thanks as well for the reference. | |
| Mar 14, 2011 at 8:57 | vote | accept | jvo | ||
| Mar 14, 2011 at 0:10 | history | answered | Chris Wuthrich | CC BY-SA 2.5 |